# Recursive definitions

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(See attached file for full problem description).

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Give a recursive definition of

a) the sequence {an}, n=1,2,3,...if

i. an = 1+(-1)n

ii. an = n2

b) of the set of ordered pairs of positive integers S = {(a,b) | a Ñ” Z+, b Ñ” Z+, and 3 |(a+b)}.

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#### Solution Summary

This solution is comprised of a detailed explanation to give a recursive definition.

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